<h2>Translating Word Phrases to Algebraic Expressions</h2>
<p>All our earlier work translating word phrases to algebra also applies to expressions that include both positive and negative numbers. Remember that the phrase <em>the sum</em> indicates addition.</p>
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<h2>Example</h2>
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<p>Translate and simplify: the sum of \(-9\) and \(5.\)</p>
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<h3>Solution</h3>
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<td>The sum of −9 and 5 indicates addition.</td>
<td>the sum of \(-9\) and \(5\)</td>
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<td>Translate.</td>
<td>\(-9+5\)</td>
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<td>Simplify.</td>
<td>\(-4\)</td>
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<h2>Example</h2>
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<p>Translate and simplify: the sum of \(8\) and \(-12,\) increased by \(3.\)</p>
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<h3>Solution</h3>
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<p>The phrase <em>increased by</em> indicates addition.</p>
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<td>The sum of \(8\) and \(-12\), increased by \(3\)</td>
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<td>Translate.</td>
<td>\(\left[8+\left(-12\right)\right]+3\)</td>
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<td>Simplify.</td>
<td>\(-4+3\)</td>
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<td>Add.</td>
<td>\(-1\)</td>
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Translating Word Phrases to Algebraic Expressions

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore the world of integers, learn to locate numbers on the number line, find opposites, simplify expressions with absolute value, model addition, subtraction, multiplication, and division of integers, and solve equations using properties of equality in this tutorial.


The sum of −9 and 5 indicates addition.	the sum of \(-9\) and \(5\)
Translate.	\(-9+5\)
Simplify.	\(-4\)

	The sum of \(8\) and \(-12\), increased by \(3\)
Translate.	\(\left[8+\left(-12\right)\right]+3\)
Simplify.	\(-4+3\)
Add.	\(-1\)

Translating Word Phrases to Algebraic Expressions

Translating Word Phrases to Algebraic Expressions

Example

Solution

Example

Solution

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